Exact solution for cavitated bifurcation for compressible hyperelastic materials

Experimental and finite element investigation of void nucleation in rubber-like materials

“…Moreover, several authors analytically analysed the cavitation phenomenon in the case of compressible materials (Ertan, 1988;Horgan, 1992Horgan, , 1995Biwa, 1995;Murphy and Biwa, 1997;Xin-Chun and Chang-Jun, 2001). They mainly concluded that it is quite difficult to get pertinent solutions describing nucleation and/or growth of cavitations.…”

“…Nevertheless many authors showed that, beyond a certain critical value of the deformation, the cavitation solution is more stable (Ball, 1982;Horgan, 1992;Horgan, 1995;Murphy and Biwa, 1997;Xin-Chun and Chang-Jun, 2001). Recently, Kakavas (2002) studied the effect of the micro-voids volume fraction on the stress-strain fields of compressible materials under monotonic loading.…”

Void formation and growth for a class of compressible hyper-elastic sphere

“…In this paper, a class of compressible isotropic hyper-elastic material is obtained by introducing a nonlinear term into the strain energy function (9). We assume that it has the form…”

“…Analyses on growth of pre-existing micro-void for the particular case of a Blatz-Ko material was carried out by Horgan and Abeyaratne eaJ . Thereafter, many significant investigations have been published, such as [4][5][6][7][8][9][10][11]. The authors have studied the cavitated bifurcation problems for different compressible hyper-elastic materials.…”

“…In this paper, a new type of the strain energy function is proposed, which may be viewed as a generalization of the strain energy function proposed in [9]. The cavitated bifurcation problem for compressible hyper-elastic sphere subjected to a prescribed surface displacement is examined.…”